##$ Negative Numbers

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Comparing Negative Numbers

Number Line

Operations

Do you need to add, subtract, multiply, or divide negative numbers?

Check out the pages linked below!

Exponents and Roots

Do you need to square a negative number?

Or simplify a negative exponent?

Or maybe find the square root or the cube root of a negative?

Check out the pages linked below!

Functions

Do you need to find the absolute value of a negative number?

Or find the log, natural log, sine, cosine, or tangent of a negative?

Check out the pages linked below!

Reciprocals

The reciprocal of a negative number is found the same way that positive reciprocals are found. 

Rounding Negative Numbers

Negative Number Classification

Are negative numbers natural numbers? 

  • No, because all natural numbers are positive.

Are negative numbers whole numbers?

  • No, because all whole numbers are positive or zero.

Are negative numbers integers?

  • Yes and no. Some negative numbers (like -5, -13, and -2) are integers. However, some negative numbers (like -27.3, \(-\pi\), and \(-\frac{3}{4}\)) are not integers. 

Are negative numbers real numbers?

  • Yes, all negative numbers are real numbers

Are negative numbers rational numbers?

  • Yes and no. Some negative numbers (like -4, \(-\frac{1}{2}\), and -28.5) are rational numbers. However, some negative numbers (like \(-2\pi\), -e, and \(-\sqrt{7}\)) are not rational. 

Are negative numbers irrational?

  • Yes and no. Some negative numbers (like \(-2\pi\), -e, and \(-\sqrt{7}\) are irrational numbers. However, some negative numbers (like -4, \(-\frac{1}{2}\), and -28.5\)) are not irrational. 

Can negative numbers be prime?

  • Sort of. Prime numbers, the way they are usually defined in middle school and high school, are only positive. 
  • However, in algebraic ring theory, prime numbers are defined in a way that makes two numbers like 7 and -7 essentially the same prime number.

Can negative numbers be even?

  • Yes, negative numbers like -2, -4, -6,… are even numbers. 

Can negative numbers be odd?

  • Yes, negative numbers like -1, -3, -5,… are odd numbers. 

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